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Finding the Fourth Proportional to 58.16, 80.42 and 46.61

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Solution

The fourth proportional to 58.16, 80.42 and 46.61 is: 64.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 80.42 = 46.61 : x
  2. Step 2: Convert to fraction form
    58.16/80.42 = 46.61/x
  3. Step 3: Cross multiply
    58.16x = 80.42 × 46.61
  4. Step 4: Simplify right side
    58.16x = 3,747.74
  5. Step 5: Solve for x
    x = 3,747.74/58.16
  6. Step 6: Final answer
    x = 64.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.